Simplifying Variable Expressions Quiz

What property allows you to change the order of terms in an addition expression?

• Distributivity

• Identity

• Commutativity

• Associativity

Which property allows you to group terms differently in an addition expression?

• Inverse

• Distributivity

• Associativity

• Commutativity

What is the result of simplifying the expression 5 + x + 9 using properties?

• x + 14

• 5 + x

• x + 9

• 14 + x

What is the distributive property used for in expressions?

• Grouping terms differently

• Finding the inverse of a term

• Multiplying a term across a sum

• Changing the order of terms

How would you simplify 6(8 + 3x) using distribution?

• 48 + 18x

• 6 + 3x

• 8 + 3x

• 48x + 18

What is the simplified form of 3(6 + 10x)?

• 3x + 10

• 6 + 10x

• 18x + 30

• 18 + 30x

What is the result of distributing 8 across (10 + 9x)?

• 80 + 72x

• 80x + 72

• 10 + 9x

• 8x + 9

What is the result of 6 times (7 + 10x) using distribution?

• 6x + 7

• 42 + 60x

• 42x + 60

• 7 + 10x

How can you mentally calculate 99 times 101 using properties?

• By adding 99 and 101

• By multiplying 99 by 100 and adding 99

• By multiplying 100 by 101

• By subtracting 1 from 101 and multiplying by 99

Why is it beneficial to understand these properties for mental math?

• It helps in memorizing formulas

• It improves handwriting

• It allows for faster calculations

• It makes math more difficult